series

(noun)

A number of things that follow on one after the other or are connected one after the other.

Related Terms

Examples of series in the following topics:

  • Resisitors in Series

    • shows resistors in series connected to a voltage source.
    • Using Ohm's Law to Calculate Voltage Changes in Resistors in Series
    • $RN (series) = R_1 + R_2 + R_3 + ... + R_N.$
    • A brief introduction to series circuit and series circuit analysis, including Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL).
    • Three resistors connected in series to a battery (left) and the equivalent single or series resistance (right).

  • Combinations of Capacitors: Series and Parallel

    • Like any other form of electrical circuitry device, capacitors can be used in series and/or in parallel within circuits.
    • It is possible for a circuit to contain capacitors that are both in series and in parallel.
    • The circuit shown in (a) contains C1 and C2 in series.
    • This image depicts capacitors C1, C2 and so on until Cn in a series.
    • Calculate the total capacitance for the capacitors connected in series and in parallel

  • Combination Circuits

    • A combination circuit can be broken up into similar parts that are either series or parallel.
    • In that case, wire resistance is in series with other resistances that are in parallel.
    • A series circuit can be used to determine the total resistance of the circuit.
    • Essentially, wire resistance is a series with the resistor.
    • This combination of seven resistors has both series and parallel parts.

  • Convergence Theorems

    • One has to be a little careful about saying that a particular function is equal to its Fourier series since there exist piecewise continuous functions whose Fourier series diverge everywhere!
    • However, here are two basic results about the convergence of such series.
    • Similarly for a left derivative) then the Fourier series for $f$ converges to
    • These time series are reconstructed from the spectra by inverse DFT.
    • At the bottom left, we show a Gaussian time series that we will use to smooth the noisy time series by convolving it with the DFT of the noisy signal.

  • Hydrogen Spectra

    • For the Lyman series, $n_f = 1$ for the Balmer series, $n_f = 2$; for the Paschen series, $n_f = 3$; and so on.
    • The Lyman series is entirely in the UV, while part of the Balmer series is visible with the remainder UV.
    • The Paschen series and all the rest are entirely IR.
    • Thus, for the Balmer series, $n_f = 2$ and $n_i = 3,4,5,6...$ .
    • Balmer first devised the formula for his series alone, and it was later found to describe all the other series by using different values of $n_f$.

  • Charging a Battery: EMFs in Series and Parallel

    • When voltage sources are connected in series, their emfs and internal resistances are additive; in parallel, they stay the same.
    • Usually, the cells are in series in order to produce a larger total emf .
    • The disadvantage of series connections of cells in this manner, though, is that their internal resistances add.
    • This represents two voltage sources connected in series with their emfs in opposition.
    • A series connection of two voltage sources in the same direction.

  • Radioactive Decay Series: Introduction

    • Radioactive decay series describe the decay of different discrete radioactive decay products as a chained series of transformations.
    • Radioactive decay series, or decay chains, describe the radioactive decay of different discrete radioactive decay products as a chained series of transformations.
    • Most radioactive elements do not decay directly to a stable state; rather, they undergo a series of decays until eventually a stable isotope is reached.
    • This diagram provides examples of four decay series: thorium (in blue), radium (in red), actinium (in green), and neptunium (in purple).

  • Discrete Fourier Transform Examples

    • What we will do is construct an unknown time series' DFT by hand and inverse transform to see what the resulting time series looks like.
    • In all cases the time series $h_k$ is 64 samples long.
    • Next, in Figure 4.12, we show at the top an input time series consisting of a pure sinusoid (left) and the real part of its DFT.
    • The real (left) and imaginary (right) parts of three length 64 time series, each associated with a Kronecker delta frequency spectrum.
    • These time series are reconstructed from the spectra by inverse DFT.

  • RLC Series Circuit: At Large and Small Frequencies; Phasor Diagram

    • In previous Atoms we learned how an RLC series circuit, as shown in , responds to an AC voltage source.
    • A series RLC circuit: a resistor, inductor and capacitor (from left).
    • Distinguish behavior of RLC series circuits as large and small frequencies

  • Power

    • Power delivered to an RLC series AC circuit is dissipated by the resistance in the circuit, and is given as $P_{avg} = I_{rms} V_{rms} cos\phi$.
    • Power delivered to an RLC series AC circuit is dissipated by the resistance alone.
    • The forced but damped motion of the wheel on the car spring is analogous to an RLC series AC circuit.
    • Phasor diagram for an RLC series circuit.
    • Calculate the power delivered to an RLC-series AC circuit given the current and the voltage